Improved rate of convergence for the modified Szasz-Mirakyan operators (Q2721749)
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scientific article; zbMATH DE number 1616495
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Improved rate of convergence for the modified Szasz-Mirakyan operators |
scientific article; zbMATH DE number 1616495 |
Statements
8 February 2004
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Szász-Mirakyan operators
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moduli of variation
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0.9344994
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Improved rate of convergence for the modified Szasz-Mirakyan operators (English)
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The authors deal with the Durrmeyer modification of the Szász-Mirakyan approximation operators of \(f\), denoted by \(M_n(f,\cdot)\), which they apply to functions that are locally of bounded variation in \([0,\infty)\). They obtain pointwise estimates on the degree of approximation by \(M_n(f,x)\) of the average \((f(x+)+f(x-))/2\). These estimates are given by means of the sum of the local moduli of variation of the function. The exact details are too complicated to be stated in a review.
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